derivative of (1/(x-3)^2)

Lösung

\frac{d}{d x} ((\frac{1}{x - 3})^{2})

- \frac{2}{( x - 3 ) ^{3}}

Schritte zur Lösung

\frac{d}{d x} ((\frac{1}{x - 3})^{2})

Wende die Kettenregel an:

2 \cdot \frac{1}{x - 3} \frac{d}{d x} (\frac{1}{x - 3})

= 2 \cdot \frac{1}{x - 3} \frac{d}{d x} (\frac{1}{x - 3})

\frac{d}{d x} (\frac{1}{x - 3}) = - \frac{1}{( x - 3 ) ^{2}}

= 2 \cdot \frac{1}{x - 3} (- \frac{1}{( x - 3 ) ^{2}})

Vereinfache

2 \cdot \frac{1}{x - 3} (- \frac{1}{( x - 3 ) ^{2}}) : - \frac{2}{( x - 3 ) ^{3}}

= - \frac{2}{( x - 3 ) ^{3}}

\int x ln (2 x) d x

\frac{d}{d x} (ln (x^{3} - 27 x - 5))

\frac{\frac{d y}{d x}}{2} = y

\frac{\partial}{\partial y} ((x - y)^{2})

\frac{d}{d x} (\frac{4 x ^{2} + 3 x}{2 x - 7})